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Finding the Fourth Proportional to 7,076.70, 9,765.50 and 4,092.98

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Solution

The fourth proportional to 7,076.70, 9,765.50 and 4,092.98 is: 5,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.70 : 9,765.50 = 4,092.98 : x
  2. Step 2: Convert to fraction form
    7,076.70/9,765.50 = 4,092.98/x
  3. Step 3: Cross multiply
    7,076.70x = 9,765.50 × 4,092.98
  4. Step 4: Simplify right side
    7,076.70x = 39,969,926.90
  5. Step 5: Solve for x
    x = 39,969,926.90/7,076.70
  6. Step 6: Final answer
    x = 5,648.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.